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The market consensus is that Analog Electronic Corporation has an ROE = 8% and a

ID: 2712114 • Letter: T

Question

The market consensus is that Analog Electronic Corporation has an ROE = 8% and a beta of 1.75. It plans to maintain indefinitely its traditional plowback ratio of 1/4. This year's earnings were $3.4 per share. The annual dividend was just paid. The consensus estimate of the coming year's market return is 13%, and T-bills currently offer a 6% return.

a. Find the price at which Analog stock should sell. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Price $ 16.01

b. Calculate the P/E ratio. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

P/E ratio of:

1. Leading 4.62

2. Trailing

c. Calculate the present value of growth opportunities. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)

PVGO $

d. Suppose your research convinces you Analog will announce momentarily that it will immediately reduce its plowback ratio to 3/4. Find the intrinsic value of the stock. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Intrinsic value of the stock $

Explanation / Answer

=6%+ (13%-6%)x1.75

= 18.25%

          G = roe X plow back ratio

             = 8% x ¼

             = 2%

Do = EPS x (1- plow back ratio)

      = 3.40 x (1 – ¼)

      = 2.55

Price = Do x(1+g)/(ke-g)

          = 2.55 x(1+0.02)/(0.1825 -0.02)

          =2.601/0.1625

          = 16.01

b) P/E ratio = Price/ EPS

= 16.01/3.40

c) PVGO = price – EPS/Ke

= 16.01 -3.40/0.1825

= -2.62

d) G = roe X plow back ratio

= 8% x 3/4

= 6%

Do = EPS x (1- plow back ratio)

= 3.40 x (1 – 3/4)

= 0.85

Intrinsic value = Do x(1+g)/(ke-g)

= 0.85 x(1+0.06)/(0.1825 -0.06)

=7.36